What is the 2291st prime number?
The 2291st prime number is 20269. The next prime is 20287 (a gap of 18) and the one before is 20261.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 2291st one is 20269.
- 2
20269 is prime because no prime up to ā20269 ā 142.37 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2291st prime is close to 2291 Ć ln(2291) ā 17725, and here it is 20269.
- 4
20269 has no twin: neither 20267 nor 20271 is prime.
Primes around the 2291st
| Position | Prime | Gap from the previous |
|---|---|---|
| 2288 | 20233 | 2 |
| 2289 | 20249 | 16 |
| 2290 | 20261 | 12 |
| 2291 | 20269 | 8 |
| 2292 | 20287 | 18 |
| 2293 | 20297 | 10 |
| 2294 | 20323 | 26 |
Questions
What is the 2291st prime number?
20269.
Which prime number is 20269?
20269 is the 2291st prime number.
What is the sum of the first 2291 primes?
21,755,082.